MATHEMATICS MIDDLE SCHOOL

You can do 90 sit-ups in 2 minutes. Your friend can do 135 sit-ups in 3 minutes. Do these rates form a proportion? Explain.

Answers

Answer 1
Answer:

My situps in 1 minute = 90/2 = 45

Friend sit-ups in 1 minute = 135/3 = 45

So, proportion would be 45/45 = 1.

As it is forming directly one, so we can say these rates did not form a proportion.

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You and a friend each roll a standard die to see who goes first in a board game. What is the probability that at least one of you rolls a 6?
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What is the solution to the proportion?  X/45=8/18 Answers: A. X=16 B. X=20 C. X=35 D. X=101.25

In the file below. (Sorry, question has pictures can't write it out.)

Answers

As what I can observe, the pathway can be formed with 2 right triangles. Thus, I'll get the area of the 2 right triangles and multiply its area by the paving cost per square meter.

Area of Right Triangle: ab / 2
a = 6 2/3 m ⇒ 20/3 m; b = 3m

Area of 1 triangle= (20/3 m * 3 m) ÷ 2 = 20 ÷ 2 = 10 m²   

Area of 2 triangles = 10m² * 2 = 20 m²

Total cost = $40 * 20m² = $800 

A survey of statistics students asked the students for their favorite ice cream. The results of thesurvey are provided in the table.
Identify the modal class from the distribution.

Answers

Answer:

Vanilla

Step-by-step explanation:

Let us first know the definition of modal class to find the modal class distribution.

Modal class is the class which occurs maximum number of times (or) the highest frequency in the data.

In the given data, The highest frequency occurred is 24, which is for the flavour Vanilla.

That is vanilla flavour is liked by most of the students.

So, Modal class for the given data is vanilla.

Answer:

Vanilla

Step-by-step explanation:

The modal class is the largest group on the table.

Which fraction is the reciprocal of 5 2/3?I NEED HELP ASAP! PLEASE PLEASE PLEASE HELP! I NEED HELP NOW!

A. 2/15


B. 3/17


C. 17/3


D. 13/2

Answers

B. 

Okay, so the fraction 5 (2)/(3) ... 5, in terms of thirds, is 15/3, plus ⅔ = 17/3.
The reciprocal of that is just upside-down— 3/17.
You would need to make the fraction a improper fraction and reverse it. It's improper fraction would be 17/3, flip that around and you will get 17/3. The answer is B.

What is 8(x+12)=2(5x+9)

Answers

8(x+12)=2(5x+9)
8x+96=10x+18
2x+18=96
2x=78
x=39
8(x+12)=8x+96
2(5x+9)= 10x+18
8x+96=10x+18
     -18        -18
---------------------
  8x+78= 10x
 - 8x       -8x
-----------------
78=2x
78÷2=36

Simplify 19 - 1.67 + (2.4)

Answers

Answer:

19.73.

Step-by-step explanation:

Given : 19 - 1.67 + (2.4).

To find : simplify.

Solution : We have given  19 - 1.67 + (2.4).

By the BODMAS rule  :

First we open the parenthesis

19 - 1.67 + 2.4

Now we solve the addition operation

19+2.4 -1.67

21.4 -1.67.

Now we will solve the subtraction operation :

19.73.

Therefore, 19.73.
The answer is 19.73 because 19 minus 1.67 is 17.33 and 17.33 plus 2.4 is 19.73

Kate has a piece of ribbon 7ft long. She is going to cut it into 12 equal-length pieces. How long will each piece be?

Answers

7/12=0.58333333

Which is rounded to 0.6
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